1,721,077 research outputs found
Duality and o-O structure in non reflexive banach spaces
Full text linkLet E be a Banach space with a supremum type norm induced by a collection of functionals L ⊂ X∗where X is a reflexive Banach space. Familiar spaces of this type are BMO, BV, C0,α(0 < α < 1), Lq,∞, for q > 1. For most of these spaces E, the predual E∗ exists and can be defined by atomic decomposition of its elements. Another typical result, when it is possible to define a rich vanishing subspace E0⊂ E is the "two star theorem ", namely (E0)∗ = E∗. This fails for E = BV and E =C0,1= Lip
Atomic decomposition for preduals of some Banach spaces
No full textGiven a Banach space E with a supremum type norm induced by a sequence L = (Lj) of linear forms Lj : X → R on the Banach space X, we prove that if the unit ball BX is σ(X, L)compact then E has a predual E? with an atomic decomposition. We extend results from [7] where X is assumed a reflexive Banach space
Scotto Di Minico A., Vetrani I., Di Leva G., Gervetti P., Manno M., Sbordone C.: “Ferie non godute e percezione dello stress lavoro-correlato”. Atti del 80° Congresso Naz. della Soc. It. di Medicina del Lavoro e Igiene industriale, Padova, 20-22 settembre 2017. Giornale It. di Medicina del Lavoro ed Ergonomia, 2017; 39:3, pg. 138
No full textOn BV Homeomorphisms
No full textWe obtain the rectifiability of the graph of a bounded variation homeomorphism f in the plane and relations between gradients of f and its inverse. Further, we show an example of a bounded variation homeomorphism f in the plane which satisfies the (N) and (N−1) properties and strict positivity of Jacobian of both itself and its inverse, but neither f nor f−1 is Sobolev
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